Properties

Label 435344.bb
Number of curves $1$
Conductor $435344$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("bb1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 435344.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435344.bb1 435344bb1 \([0, 0, 0, -70304, -5940688]\) \(884736/161\) \(6993200738521088\) \([]\) \(2066688\) \(1.7591\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435344.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 435344.bb do not have complex multiplication.

Modular form 435344.2.a.bb

sage: E.q_eigenform(10)
 
\(q + 2q^{5} - q^{7} - 3q^{9} - 3q^{11} - 3q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display